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PLEASE HELP MEEE :( consider the points P (3, 0), Q (a, b) R (3, 3) and S (b+2,a+5). find the coordinates of Q and S if figure PQRS forms a parallelogram.
okay so what i did is equate the slope and distances of lines PQ and RS... but i'm still not getting a final answer :(
 one year ago
 one year ago
PLEASE HELP MEEE :( consider the points P (3, 0), Q (a, b) R (3, 3) and S (b+2,a+5). find the coordinates of Q and S if figure PQRS forms a parallelogram. okay so what i did is equate the slope and distances of lines PQ and RS... but i'm still not getting a final answer :(
 one year ago
 one year ago

This Question is Closed

dydlfBest ResponseYou've already chosen the best response.0
slope pq= slope rs> b/(a+3)=(a+8)/(b1) distance pq = distance rs > (a+3)^2+b^2=(b1)^2+(a+8)^2 so b=5a+28 tried to do systems but then there's no answer?!?!?! based on http://www.wolframalpha.com/input/?i=%28a%2B3%29%5E2%2Bb%5E2%3D%28b1%29%5E2%2B%28a%2B8%29%5E2%3B+b%2F%28a%2B3%29%3D%28a%2B8%29%2F%28b1%29 huhuhu someone help please :((
 one year ago

ghass1978Best ResponseYou've already chosen the best response.0
did you try solving it with vectors?
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
im thinking of midpoints :)
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
(P+R)/2 = (Q+S)/2 P+R = Q+S
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
but that just gets me parallel lines that have no solution :/ a+b = 2 a+b = 8
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
is there a figure to pull information off of?
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
dw:1345725961534:dw we need to develop a notion of the rule that defines Q and S to narrow down the options eh
 one year ago

dydlfBest ResponseYou've already chosen the best response.0
what did you mean by your last message, amistre64? btw, is there anything wrong with my solution?
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
a parallelagram is defined as opposite sides are parallel; i was just looking for "orbits" that would define the possibilities of 2 other points.
 one year ago

dydlfBest ResponseYou've already chosen the best response.0
ghass1978, nope i don't remember how to use vectors... it's not part of our exam. sorry
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
your initial ideas look good in that they are defining valid properties
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
is there a diagram that goes with this? or is it just a wordy problem?
 one year ago

dydlfBest ResponseYou've already chosen the best response.0
just that, exactly that :( waaaaahhh :(
 one year ago

dydlfBest ResponseYou've already chosen the best response.0
but it says PQRS which means the sequence of the coordinates would be that way. as in Q "between" P and R... if that's what you're wondering
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
dw:1345726700410:dw without using the relationship between Q and S, we can get any number of values for Q and S
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
Q(0,0) S(2,5) if we adjust this so that the midpoint is at 0,1.5 it satisfies the rule Q(1,4) S(1,1) is a solution
 one year ago

dydlfBest ResponseYou've already chosen the best response.0
wait wait i don't get your drawing??? how did you get those? :( sorry!! i don't think we were taught that method yet?
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
draw a parallelgramdw:1345727410942:dw
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
dw:1345727435579:dwdw:1345727448036:dw
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
the midpoint of PR is the midpoint of QS , define some points that match the rule Q(a,b) S(b+2,a+5) and resolve the midpoint by moving the points about
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
any scaled values of Q and S also work if there is a given picture to conform to, we can narrow down the odds of what they want tho
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
dw:1345727657560:dw
 one year ago

dydlfBest ResponseYou've already chosen the best response.0
the right answer is S(5, 4) and Q(9,3) ?? just found out now... how do you get that then? btw i will close this, have another question to ask.
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
9, 3 5,4  4,1 ; midpoint = 2,1/2 3, 0 3, 3  0,3 ; midpoint = 0, 3/2 you either have some misinformation in the post, or the answer is wrong.
 one year ago

dydlfBest ResponseYou've already chosen the best response.0
okay wait so i did the midpoint thing but i'm still lost... midpoint of pr is (0, 3/2) midpoint of qs is ([a+b+2]/2, [a+b+5]/2) i tried equating [a+b+2]/2=0 and [a+b+5]/2=3/2 then i got... a+b=2 a+b=8 ??? so how did you get Q(1,4) S(1,1) ?
 one year ago

dydlfBest ResponseYou've already chosen the best response.0
nevermind, i believe our teacher gave the wrong given. i believe s should have been (a+2, b+5)
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
I essentially created a set of points in a different place that matched the given rule. Then I moved those points into the proper position.
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
using your new rule for Q and S .... Q(a,b) S(a+2, b+5) select any values you want for a and b; say a=6 and b=1 .... random picks Q(6,1) S(6+2, 1+5) Q(6,1) S(8, 4) now that I have a set of points that matches the rule, lets determine its own midpoint as is (7 , 3/2) now i want this midpoint to be at (0,3/2), so lets see how we adjust it to get there (7 , 3/2) 7, 6/2 < i need to move Q and S by the same  (0, 3/2) since we have to move the midpoint by (7,3), we will have to move Q and S by the same amount Q(6,1) S(8, 4) 7 3 7 3   Q(1,4) S(1, 1) now we have a set of points Q and S that match the given rule; and is located in the proper spot
 one year ago
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